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Finding the Fourth Proportional to 106,820, 160,232.16 and 32,948

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Solution

The fourth proportional to 106,820, 160,232.16 and 32,948 is: 49,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 160,232.16 = 32,948 : x
  2. Step 2: Convert to fraction form
    106,820/160,232.16 = 32,948/x
  3. Step 3: Cross multiply
    106,820x = 160,232.16 × 32,948
  4. Step 4: Simplify right side
    106,820x = 5,279,329,207.68
  5. Step 5: Solve for x
    x = 5,279,329,207.68/106,820
  6. Step 6: Final answer
    x = 49,422.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.